110002000999968 has 768 divisors, whose sum is σ = 402174794649600. Its totient is φ = 28417506877440.

The previous prime is 110002000999967. The next prime is 110002001000041. The reversal of 110002000999968 is 869999000200011.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (110002000999967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10817381188 + ... + 10817391356.

It is an arithmetic number, because the mean of its divisors is an integer number (523665097200).

Almost surely, 2^{110002000999968} is an apocalyptic number.

110002000999968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110002000999968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201087397324800).

110002000999968 is an abundant number, since it is smaller than the sum of its proper divisors (292172793649632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110002000999968 is a wasteful number, since it uses less digits than its factorization.

110002000999968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11070 (or 11056 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 54.

The spelling of 110002000999968 in words is "one hundred ten trillion, two billion, nine hundred ninety-nine thousand, nine hundred sixty-eight".